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Henrik Holst edited The_equation_for_the_ellipsoid__.tex
almost 9 years ago
Commit id: ec632c91b7f070b733e935c99a04013459a7fe1a
deletions | additions
diff --git a/The_equation_for_the_ellipsoid__.tex b/The_equation_for_the_ellipsoid__.tex
index 497bb1e..91b92d3 100644
--- a/The_equation_for_the_ellipsoid__.tex
+++ b/The_equation_for_the_ellipsoid__.tex
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We plug this into the expression for $E$,
$$E(t)=\frac{e_1^2 y_1^2}{(t+e_1^2)^2}+\frac{e_2^2 y_2^2}{(t+e_2^2)^2}+\frac{e_3^2 y_3^2}{(t+e_3^2)^2}-1$$
The derivative $E'(t)$:
$$E'(t)=-\frac{2
e_1^2 y_1^2}{(t+e_1^2)^3} - \frac{2
e_2^2 y_2^2}{(t+e_2^2)^3} - \frac{2
e_3^2 y_3^2}{(t+e_3^2)^3}$$